Use of a non-relativistic basis for describing the low energy meson spectrum

A.D.AMOR QUIROZ; T.YEPEZ; P. O. HESS; CIVITARESE, O.

cocoyoc

Simposio; international symposium on nuclear and particle physics; 2017

UNAM

Abstract. We justify the use of harmonic oscillator eigenfunctions for expanding the fermionicfields of an effective field theory and evaluate its utility for solving a Hamiltonian inspired bythe QCD formalism in the Coulomb Gauge. Since the functions involved in such expansion arenon-relativistic, the Talmi-Moshinsky transformations can be used to recover the translationalinvariance of the center of mass of the mesonic states. Finally, many-body methods and an aposteriori flavor mixing procedure are used to compute a preliminary spectrum for the mesonsbelow 1 GeV .